Minimal non-invertible maps on the pseudo-circle
Dynamical Systems
2019-11-05 v3
Abstract
In this article, we show that R.H. Bing's pseudo-circle admits a minimal non-invertible map. This resolves a problem raised by Bruin, Kolyada and Snoha in the negative. The main tool is the Denjoy-Rees technique, further developed by B\'eguin-Crovisier-Le Roux, combined with detailed study into the structure of the pseudo-circle.
Cite
@article{arxiv.1810.07688,
title = {Minimal non-invertible maps on the pseudo-circle},
author = {Jan P. Boronski and Judy Kennedy and Xiao-Chuan Liu and Piotr Oprocha},
journal= {arXiv preprint arXiv:1810.07688},
year = {2019}
}